Least Common Multiple of 23/595, 3455/6764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/595, 3455/6764 quickly i.e. 79465 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/595, 3455/6764 is 79465.

LCM(23/595, 3455/6764) = 79465

LCM of 23/595, 3455/6764

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 23/595,3455/6764

Given numbers are 23/595,3455/6764

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 23,3455

Least Common Multiple of Numerators i.e. LCM of 23,3455 is 79465.

GCF of Denominators means GCF of 595,6764 as per the given fractions.

GCF of 595,6764 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,3455

LCM of Fractions 23/595,3455/6764 is 79465

Given numbers has no common factors except 1. So, there LCM is their product i.e 79465

Least Common Multiple of 23,3455 with GCF Formula

Least Common Multiple of 23,3455 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 23,3455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,3455) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(23,3455) x common factors =1 x 1 = 1

LCM(23,3455) = ( 23 × 3455 ) / 1

LCM(23,3455) = 79465 / 1

LCM(23,3455) = 79465


Lets's calculate GCF of 595,6764

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79465/1

Therefore the LCM of Fractions 23/595,3455/6764 is 79465

Greatest Common Factor of 595,6764 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,6764 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 6764

List of positive integer factors of 6764 that divides 6764 without a remainder.

1,2,4,19,38,76,89,178,356,1691,3382,6764

Greatest Common Factor

We found the factors 595,6764 . The biggest common factor number is the GCF number.
So the greatest common factor 595,6764 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 23/595, 3455/6764

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 23/595, 3455/6764?

Answer: LCM of Numerators as per given numbers 23/595, 3455/6764 is

LCM of Numerators i.e. for 23,3455 is 79465

GCF of denominators i.e. for 595,6764 is 1.

Thus, LCM of Fractions is 79465.Finally, LCM of Fractions for 23/595, 3455/6764 is 79465.